论文标题
非螺旋厅级联的Hosking积分
Hosking integral in nonhelical Hall cascade
论文作者
论文摘要
Hosking积分表征了亚参数中磁性螺旋的波动，已知可以控制磁性支配的湍流的衰减。在这里，我们表明，当磁场的演变仅由电子的运动控制时，就像中子星形地壳一样，磁场的衰减仍然受Hosking积分的控制，但是现在它的维度与普通的磁含量（MHD）的涡轮有效不同。这会导致相关长度随时间$ t $而增加，例如$ t^{4/13} $，而不是MHD中的$ t^{4/9} $。磁能密度像$ t^{ - 10/13} $一样降低，该$比MHD慢，它像$ t^{ - 10/9} $一样衰减。这些新的分析结果与非螺旋厅级联的早期数值模拟一致。
The Hosking integral, which characterizes magnetic helicity fluctuations in subvolumes, is known to govern the decay of magnetically dominated turbulence. Here we show that, when the evolution of the magnetic field is controlled by the motion of electrons only, as in neutron star crusts, the decay of the magnetic field is still controlled by the Hosking integral, but now it has effectively different dimensions than in ordinary magnetohydrodynamic (MHD) turbulence. This causes the correlation length to increase with time $t$ like $t^{4/13}$ instead of $t^{4/9}$ in MHD. The magnetic energy density decreases like $t^{-10/13}$, which is slower than in MHD, where it decays like $t^{-10/9}$. These new analytic results agree with earlier numerical simulations for the nonhelical Hall cascade.
